Quiz about Similar Figures Virginia Sol

Question 1

Find y.

Accepted Answer

12

Answer

144

Answer

18

Answer

72

Question 2

Solve the proportion.
____ = ____

Accepted Answer

p=308

Answer

p=31.3

Answer

p=924

Answer

p=532

Question 3

Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 4

Matching sides are called

Accepted Answer

Corresponding Sides

Answer

Corresponding Angles

Answer

The Same

Answer

Congruent Sides

Question 5

Sides in similar figures must be proportional.

Accepted Answer

True

Answer

False

Question 6

Two shapes that are similar are also congruent

Accepted Answer

False

Answer

True

Question 7

Are the following similar? Why or why not?

Accepted Answer

No, the ratios of the corresponding sides are not equal.

Answer

Yes

Answer

No, the corresponding angles are not equal.

Question 8

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 12

Answer

x = 3

Answer

x = 40

Answer

x = 4

Question 9

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

Accepted Answer

x = 16.5 cm

Answer

x = 19 cm

Answer

x = 24 cm

Answer

x = 3 cm

Question 10

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 5

Answer

x = 20

Answer

x = 12

Answer

x = 4

Question 11

Find missing side

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 12

Solve for X.

Accepted Answer

2 ft

Answer

3 ft

Answer

4 ft

Answer

6 ft

Question 13

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

Accepted Answer

72 feet

Answer

144 feet

Answer

36 feet

Question 14

Using a proportion, find the height of the tree.

Accepted Answer

x = 16 ft.

Answer

x = 0.0625 ft.

Answer

16 ft

Question 15

All corresponding angles in similar figures are congruent.

Accepted Answer

True

Answer

False

Question 16

Sides that are in the same position are called

Accepted Answer

Corresponding Sides

Answer

Corresponding Angles

Answer

The Same

Answer

Congruent Sides

Question 17

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

Accepted Answer

No, not similar because they are the same shape, but side lengths are not proportional.

Answer

Yes, similar because they are the same shape and side lengths are proportional.

Answer

Yes, same shape

Answer

No, different sizes

Question 18

Angles in the same position are called

Accepted Answer

Corresponding Angles

Answer

Corresponding Sides

Answer

The Same

Answer

Congruent Angles

Question 19

Two objects that are the same shape but not the same size are _______.

Accepted Answer

Similar

Answer

Congruent

Answer

Vertical

Answer

Complementary

Question 20

The pair of figures is similar. Find the missing side.

Accepted Answer

x = 3

Answer

x = 1

Answer

x = 9

Answer

x = 5

Question 21

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 22

Which side length corresponds with EF?

Accepted Answer

LM

Answer

ML

Answer

OL

Answer

EH

Question 23

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

Accepted Answer

shape; sizes

Answer

measure; shapes

Answer

sizes; shapes

Answer

value; measures

Question 24

Determine the correct algebraic representation of the similar figures

Accepted Answer

(x, y) -> (2x, 2y)

Answer

(x, y) -> (.5x, .5y)

Answer

(x, y) -> (x + 2, y + 2)

Answer

(x, y) -> (x - .5, y - .5)

Question 25

Triangle PQR is similar to triangle DEF shown. Which describes the relationship between the corresponding sides of the two triangles?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 26

Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?

Accepted Answer

54 squared feet

Answer

72 squared feet

Answer

18 squared feet

Answer

36 squared feet

Question 27

The German flag has a height:length ratio of 3:5. If a German flag is 1.75 meters high, what is its length?

Accepted Answer

2.92 meters

Answer

2.8 meters

Answer

1.09 meters

Answer

2.8 meters

Question 28

Suppose that triangle JKL is similar to triangle PQR. Which angle correspond with angle L?

Accepted Answer

angle R

Answer

angle J

Answer

angle K

Answer

angle P

Answer

angle Q

Question 29

Determine the correct algebraic representation of the similar figures shown.

Accepted Answer

(x, y) -> (.5x, .5y)

Answer

(x, y) -> (2x, 2y)

Answer

(x, y) -> (x, 2y)

Answer

(x, y) -> (.5x, y)

Question 30

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

Accepted Answer

Triangle A'B'C' is a reduction of triangle ABC

Answer

Triangle A'B'C' is an enlargement of triangle ABC

Answer

Triangle A'B'C' is a mirror image of triangle ABC

Question 31

Given that triangle ABC is similar to triangle ADE with AB = 2 cm, BD = 3 cm, and DE = 10 cm. What is the length of side length BC?

Accepted Answer

4 cm

Answer

6.67 cm

Answer

5 cm

Answer

6 cm

Question 32

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

Accepted Answer

32 feet

Answer

24 feet

Answer

21 feet

Answer

27 feet

Question 33

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

Accepted Answer

scale factor

Answer

reduction

Answer

enlargement

Answer

center of dilation

Question 34

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 35

When the scale factor of a dilation is less than one, the dilation is a reduction.

Accepted Answer

True

Answer

False

Question 36

How do you write the algebraic notation when the scale factor is 3?

Accepted Answer

(x, y) goes to (3x, 3y)

Answer

(x, y) goes to (1/3x, 1/3y)

Answer

(x, y) goes to (-3x, -3y)

Answer

(x, y) goes to (x + 3, y + 3)

Question 37

How do you write the algebraic notation when the scale factor is 1/2?

Accepted Answer

(x, y) goes to (1/2x, 1/2y)

Answer

(x, y) goes to (2x, 2y)

Answer

(x, y) goes to (-2x, -2y)

Answer

(x, y) goes to (2x, 1/2y)

Question 38

Dilate Point B by a scale factor of 3:

Accepted Answer

(0,12)

Answer

(12,0)

Answer

(12,12)

Answer

(4,3)

Question 39

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 40

Dilate Point B by a scale factor of 1/2

Accepted Answer

(-1.5,1)

Answer

(1.5,-4)

Answer

(-1,-1.5)

Answer

(-2,-2)

Question 41

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 42

The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image?

Accepted Answer

green triangle

Answer

red triangle

Answer

black triangle

Answer

none of these

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